ln(2x+3)-ln(x-1)=6

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Solution for ln(2x+3)-ln(x-1)=6 equation:


Simplifying
ln(2x + 3) + -1ln(x + -1) = 6

Reorder the terms:
ln(3 + 2x) + -1ln(x + -1) = 6
(3 * ln + 2x * ln) + -1ln(x + -1) = 6
(3ln + 2lnx) + -1ln(x + -1) = 6

Reorder the terms:
3ln + 2lnx + -1ln(-1 + x) = 6
3ln + 2lnx + (-1 * -1ln + x * -1ln) = 6
3ln + 2lnx + (1ln + -1lnx) = 6

Reorder the terms:
3ln + 1ln + 2lnx + -1lnx = 6

Combine like terms: 3ln + 1ln = 4ln
4ln + 2lnx + -1lnx = 6

Combine like terms: 2lnx + -1lnx = 1lnx
4ln + 1lnx = 6

Solving
4ln + 1lnx = 6

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Reorder the terms:
-6 + 4ln + 1lnx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 4ln + 1lnx = 0

The solution to this equation could not be determined.

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